Reflection subgroups and sub-root systems of the imprimitive complex reflection groups. (Q989808)

Based on analysing a graph \(\Gamma_X\) or a rooted graph \(\Gamma_X^r\) with a reflection set \(X\) of \(G(m,p,n)\), the authors determine all irreducible reflection subgroups of the imprimitive complex reflection groups \(G(m,p,n)\), and describe the irreducible subsystems of all possible types in the root system \(R(m,p,n)\) of \(G(m,p,n)\).